itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator > Class Template Reference

#include <itkBackwardDifferenceOperator.h>

Detailed Description

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>
class itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >

Operator whose inner product with a neighborhood returns a "half" derivative at the center of the neighborhood.

BackwardDifferenceOperator uses backward differences i.e. \( F(x) - F(x-1) \) to calculate a "half" derivative useful, among other things, in solving differential equations. It is a directional NeighborhoodOperator that should be applied to a Neighborhood using the inner product.

Note

BackwardDifferenceOperator does not have any user-declared "special member function", following the C++ Rule of Zero: the compiler will generate them if necessary.

ITK Sphinx Examples:

• All ITK Sphinx Examples

• Create A Backward Difference Operator

Definition at line 48 of file itkBackwardDifferenceOperator.h.

Inheritance diagram for itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >:

Collaboration diagram for itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >:

Public Types
using	PixelType = TPixel
using	Self = BackwardDifferenceOperator
using	Superclass = NeighborhoodOperator<TPixel, TDimension, TAllocator>
Public Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
using	PixelRealType = typename NumericTraits<TPixel>::RealType
using	PixelType = TPixel
using	Self = NeighborhoodOperator
using	SliceIteratorType = SliceIterator<TPixel, Self>
using	Superclass = Neighborhood<TPixel, VDimension, TAllocator>
Public Types inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
using	AllocatorType = TAllocator
using	ConstIterator = typename AllocatorType::const_iterator
using	DimensionValueType = unsigned int
using	Iterator = typename AllocatorType::iterator
using	NeighborIndexType = SizeValueType
using	OffsetType = Offset<VDimension>
using	PixelType = TPixel
using	RadiusType = itk::Size<VDimension>
using	Self = Neighborhood
using	SizeType = itk::Size<VDimension>
using	SizeValueType = typename SizeType::SizeValueType
using	SliceIteratorType = SliceIterator<TPixel, Self>

Public Member Functions
virtual const char *	GetNameOfClass () const
Public Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
virtual void	CreateDirectional ()
virtual void	CreateToRadius (const SizeType &)
virtual void	CreateToRadius (const SizeValueType)
virtual void	FlipAxes ()
unsigned int	GetDirection () const
void	PrintSelf (std::ostream &os, Indent indent) const override
void	ScaleCoefficients (PixelRealType)
void	SetDirection (const unsigned int direction)
Public Member Functions inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
NeighborIndexType	GetCenterNeighborhoodIndex () const
TPixel	GetCenterValue () const
virtual NeighborIndexType	GetNeighborhoodIndex (const OffsetType &) const
OffsetType	GetOffset (NeighborIndexType i) const
const SizeType	GetRadius () const
SizeValueType	GetRadius (DimensionValueType n) const
SizeType	GetSize () const
SizeValueType	GetSize (DimensionValueType n) const
std::slice	GetSlice (unsigned int) const
OffsetValueType	GetStride (DimensionValueType axis) const
	ITK_UNEQUAL_OPERATOR_MEMBER_FUNCTION (Self)
	Neighborhood ()=default
	Neighborhood (const Self &)=default
	Neighborhood (Self &&)=default
Self &	operator= (const Self &)=default
Self &	operator= (Self &&)=default
bool	operator== (const Self &other) const
void	Print (std::ostream &os) const
void	SetRadius (const SizeType &)
void	SetRadius (const SizeValueType *rad)
void	SetRadius (const SizeValueType)
NeighborIndexType	Size () const
virtual	~Neighborhood ()=default
Iterator	End ()
Iterator	Begin ()
ConstIterator	End () const
ConstIterator	Begin () const
TPixel &	operator[] (NeighborIndexType i)
const TPixel &	operator[] (NeighborIndexType i) const
TPixel &	GetElement (NeighborIndexType i)
AllocatorType &	GetBufferReference ()
const AllocatorType &	GetBufferReference () const
TPixel &	operator[] (const OffsetType &o)
const TPixel &	operator[] (const OffsetType &o) const

Protected Types
using	CoefficientVector
Protected Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
using	CoefficientVector = typename std::vector<PixelRealType>

Protected Member Functions
void	Fill (const CoefficientVector &coeff) override
CoefficientVector	GenerateCoefficients () override
Protected Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
virtual void	FillCenteredDirectional (const CoefficientVector &)
void	InitializeToZero ()
Protected Member Functions inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
virtual void	Allocate (NeighborIndexType i)
virtual void	ComputeNeighborhoodOffsetTable ()
virtual void	ComputeNeighborhoodStrideTable ()
void	SetSize ()

Additional Inherited Members
Static Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
static constexpr unsigned int	NeighborhoodDimension = VDimension

Member Typedef Documentation

CoefficientVector

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >::CoefficientVector

protected

Type alias support for coefficient vector type. Necessary to fix bug in the microsoft VC++ compiler.

Definition at line 152 of file itkNeighborhoodOperator.h.

PixelType

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::PixelType = TPixel

Type alias support for pixel type.

Definition at line 59 of file itkBackwardDifferenceOperator.h.

Self

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Self = BackwardDifferenceOperator

Standard class type aliases.

Definition at line 52 of file itkBackwardDifferenceOperator.h.

Superclass

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Superclass = NeighborhoodOperator<TPixel, TDimension, TAllocator>

Definition at line 53 of file itkBackwardDifferenceOperator.h.

Member Function Documentation

Fill()

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

void itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Fill ( const CoefficientVector & coeff )

inlineoverrideprotectedvirtual

Arranges coefficients spatially in the memory buffer.

Implements itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.

Definition at line 71 of file itkBackwardDifferenceOperator.h.

References itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >::FillCenteredDirectional().

GenerateCoefficients()

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

CoefficientVector itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::GenerateCoefficients ( )

overrideprotectedvirtual

Calculates operator coefficients.

Implements itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.

GetNameOfClass()

template<typename TPixel, unsigned int TDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

virtual const char * itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::GetNameOfClass ( ) const

virtual

See also

LightObject::GetNameOfClass()

Reimplemented from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.

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The documentation for this class was generated from the following file:

• itkBackwardDifferenceOperator.h